On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case. (English) Zbl 0396.35028


35J10 Schrödinger operator, Schrödinger equation
35J60 Nonlinear elliptic equations
35D05 Existence of generalized solutions of PDE (MSC2000)
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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